GENERAL-SOLUTION FOR A RELATIVISTIC STAR

In a spherically symmetric spacetime we find the general solution for a relativistic star in hydrostatic equilibrium having the spheroidal g eometry for the 3-space embedded in 4-Euclidean space. The parameter l ambda is the measure of spheroidal character and determines the physic al properties of the star. It has a lower bound > 3/17; stars with sma ller mass to radius ratio can occur for all allowed lambda while ultra compact stars, having ratios between 1/3 and 1/2, will have lambda gre ater than or similar to 0.9. It turns out that a wide range of values of lambda can represent objects with the fluid density of a neutron st ar. The model is shown to possess all the desirable physical features.